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Finding the Fourth Proportional to 21,047.84, 31,576.96 and 6,256.69

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Solution

The fourth proportional to 21,047.84, 31,576.96 and 6,256.69 is: 9,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.84 : 31,576.96 = 6,256.69 : x
  2. Step 2: Convert to fraction form
    21,047.84/31,576.96 = 6,256.69/x
  3. Step 3: Cross multiply
    21,047.84x = 31,576.96 × 6,256.69
  4. Step 4: Simplify right side
    21,047.84x = 197,567,321.17
  5. Step 5: Solve for x
    x = 197,567,321.17/21,047.84
  6. Step 6: Final answer
    x = 9,386.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.